{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "14dfeb82",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from matplotlib.colors import ListedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "1479c33a",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.loadtxt('../data/gauss.csv',delimiter=',')\n",
    "x_train = data[:,:2]\n",
    "y_train = data[:,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "38f99b62",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f2bfcc667c0>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.scatter(x_train[type==0,0],x_train[type==0,1],c='red',marker='x')\n",
    "plt.scatter(x_train[type==1,0],x_train[type==1,1],c='blue',marker='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "0e471a55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x450 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ks = [1,5,10]\n",
    "x_min, x_max = min(x_train[:,0])-1, max(x_train[:,0])+1\n",
    "y_min, y_max = min(x_train[:,1])-1, max(x_train[:,1])+1\n",
    "xx,yy = np.meshgrid(np.linspace(x_min,x_max,num=300),np.linspace(y_min,y_max,num=300))\n",
    "grid_data = np.concatenate((xx.reshape(-1,1), yy.reshape(-1,1)),axis=1)\n",
    "\n",
    "plt.figure(figsize=(16,4.5))\n",
    "cmap = ListedColormap(['royalblue','firebrick'])\n",
    "for i,k in enumerate(ks):\n",
    "    knn = KNeighborsClassifier(n_neighbors=k)\n",
    "    knn.fit(x_train,y_train)\n",
    "    z = knn.predict(grid_data)\n",
    "    plt.subplot(1,3,i+1)\n",
    "    plt.pcolormesh(xx,yy,z.reshape(xx.shape),cmap=cmap)\n",
    "    plt.scatter(x_train[type==0,0],x_train[type==0,1],c='blue',marker='x')\n",
    "    plt.scatter(x_train[type==1,0],x_train[type==1,1],c='red',marker='o')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "younger",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.23"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
